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123131144 = 23237389103
BaseRepresentation
bin1110101011011…
…01010100001000
322120200201011202
413111231110020
5223010144034
620115043332
73023411633
oct725552410
9276621152
10123131144
1163560284
12352a0548
131c682186
14124d2c1a
15ac2347e
hex756d508

123131144 has 64 divisors (see below), whose sum is σ = 249350400. Its totient is φ = 56871936.

The previous prime is 123131143. The next prime is 123131147. The reversal of 123131144 is 441131321.

It is a super-2 number, since 2×1231311442 = 30322557245497472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123131143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1195397 + ... + 1195499.

It is an arithmetic number, because the mean of its divisors is an integer number (3896100).

Almost surely, 2123131144 is an apocalyptic number.

It is an amenable number.

123131144 is an abundant number, since it is smaller than the sum of its proper divisors (126219256).

123131144 is a wasteful number, since it uses less digits than its factorization.

123131144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 290 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 123131144 is about 11096.4473594029. The cubic root of 123131144 is about 497.4956696003.

Adding to 123131144 its reverse (441131321), we get a palindrome (564262465).

The spelling of 123131144 in words is "one hundred twenty-three million, one hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 23 46 73 89 92 103 146 178 184 206 292 356 412 584 712 824 1679 2047 2369 3358 4094 4738 6497 6716 7519 8188 9167 9476 12994 13432 15038 16376 18334 18952 25988 30076 36668 51976 60152 73336 149431 172937 210841 298862 345874 421682 597724 669191 691748 843364 1195448 1338382 1383496 1686728 2676764 5353528 15391393 30782786 61565572 123131144